100001031 has 16 divisors (see below), whose sum is σ = 143829504. Its totient is φ = 61437024.

The previous prime is 100001029. The next prime is 100001053. The reversal of 100001031 is 130100001.

It is not a de Polignac number, because 100001031 - 2¹ = 100001029 is a prime.

It is a super-2 number, since 2×100001031² = 20000412402125922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26590 + ... + 30116.

It is an arithmetic number, because the mean of its divisors is an integer number (8989344).

Almost surely, 2^100001031 is an apocalyptic number.

100001031 is a deficient number, since it is larger than the sum of its proper divisors (43828473).

100001031 is a wasteful number, since it uses less digits than its factorization.

100001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100001031 is about 10000.0515498671. The cubic root of 100001031 is about 464.1604785152.

Adding to 100001031 its reverse (130100001), we get a palindrome (230101032).

The spelling of 100001031 in words is "one hundred million, one thousand, thirty-one".